is a sequence of positive numbers, then a slant weighted Toeplitz operator
is an operator on
is the multiplication operator on
. When the sequence
, this operator reduces to the ordinary slant Toeplitz operator given by M. C. Ho
[Indiana Univ. Math. J. 45, No. 3, 843–862 (1996; Zbl 0880.47016
)]. In this paper, we study some algebraic properties of a slant weighted Toeplitz operator. We also obtain its matrix characterization and discuss the adjoint of this operator.